229648768 has 64 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 110305792.

The previous prime is 229648753. The next prime is 229648787. The reversal of 229648768 is 867846922.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354621 + ... + 355267.

It is an arithmetic number, because the mean of its divisors is an integer number (7435800).

Almost surely, 2^229648768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

229648768 is an abundant number, since it is smaller than the sum of its proper divisors (246242432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229648768 is an equidigital number, since it uses as much as digits as its factorization.

229648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 229648768 is about 15154.1666877463. The cubic root of 229648768 is about 612.3805285791.

The spelling of 229648768 in words is "two hundred twenty-nine million, six hundred forty-eight thousand, seven hundred sixty-eight".